Review over Equivalent Problems

Which expression is equivalent to (5rt - 3rw - 8tw) + (6rt - 4rw + 2tw)?

• 11rt + rw - 10tw

• 11rt - 7rw - 6tw

• 11rt + rw - 6tw

• 11rt - 7rw - 10tw

Which expression is equivalent to (10 + 7r - r²) + (-6r² - 18 + 5r)?

• -7r² + 2r + 8

• 7r² + 12r + 8

• -7r² + 12r - 8

• 7r² + 2r - 8

Which expression is equivalent to (2a + 5)(3a - 2)?

• 17a - 10

• 6a² - 10

• 6a² + 11a - 10

• 6a² + 19a + 10

Which expression is equivalent to (n - 4)(2n + 7)?

• 3n + 3

• n - 28

• 2n² - 15n - 28

• 2n² - n - 28

Which expression is equivalent to (3/2p + 1)(½p + 3)?

• 2p² + 3

• 4p² + 3

• ¾p² + 5p + 3

• ¾p² + 10p + 3

What is the quotient represented by the expression (8w² - 20w - 12)/(2w + 1)

for all values of w where the expression is defined?                                 

• 4w + 12

• 4w - 12

• w - 3

• w + 3

Which expression is equivalent to 24gh - 12g² + 18g?

• 6g (4h - 12g + 18)

• 12g (2h - 12g + 18)

• 6g (4h - 2g + 3)

• 12g (2h - g + 3)

Which expression is a factor of 30x² - 4x - 16?

• 5x + 4

• 3x - 2

• 5x - 4

• 3x - 4

Which expressions are equivalent to (12x² - 48x + 48)?

Select TWO correct answers.

• 12(x - 2)²

• -12(x² + 4x + 4)

• 12 (x - 4) (x - 1)

• -12(x + 2)²

• 12(x² - 4x + 4)

The expression d² - d - 6 can be written in factored form as (d + 2)(d + k), where k represents a number. What is the value of k? Record your answer and fill in the bubbles on your answer document.

Mathematical Equivalence

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